7. What are the next three terms in the series 3, 6, 7, 12, 13, 18, 19, 24, _ _ _?

Sol:

This is a mixed series. 6, 12, 18, 24, . . . . form a series. Adding 1 to 6, 12, 18, forms another series. So next three terms are 25, 30, 31.

8. What is the next number in the series. a, b, d, h, _?

Sol:

a = 1

b = 2

d = 4

h = 8

This is a ${2^n}$ series starting with n = 0, 1, 2, ...

${2^4}$ = 16 which is p.

Ans = p

9. Find the letter that comes in the place of " - "

b, _, d, d, e, d, f, g, d.

Sol:

[b c] d [d e] d [f g] d [h i] d....

The series follow above manner. Answer will be c.

10. The number of zeros at the end of the product of all prime numbers between 1 and 1111 is?

Sol:

Prime numbers between 1 & 1111 are 2,3,5,7,11,...

There is no other prime no. ending with 5 as unit digit, except one '5'

2 x 5 = 10 gives only one zero in the product of all prime numbers

So, number of zeros at the end of the product = 1

11. A train goes from stations A to B. One day there is a technical problem at the very beginning of the journey & hence the train travels at 3/5 of it's original speed and so it arrives 2 hours late. Had the problem occurred after 50 miles had been covered, the train would have arrived 40 min earlier(i.e., only 120-40 = 80 min late). What is the distance between the 2 stations?

Sol:

For 1 mile the train is late by 40 / 50 min or 4/5 minutes. Or it is late by 1 minute for every 5/4 miles. For 120 minutes late it has to travel 120 x 5/4 = 150 miles.

12. Due to some defect in our elevator, I was climbing down the staircase. I’d climbed down just 7 steps when I saw a man on the ground floor. Continuing to walk down, I greeted the man and I was surprised to see that when I was yet to get down 4 steps to reach the ground floor, the man had already finished climbing the staircase. He perhaps climbed up 2 steps for every 1 of mine. How many steps did the staircase have?

Sol:

Let us consider x be the number of steps

7 + x + 4 = 2x

As old man takes 2 steps for every one steps he takes and he has to complete 4 steps,

So x = 11 and total steps = 2x = 22

39. A card board of size 34 $ \times $ 14 has to be attached to a wooden box and a total of 35 pins are to be used on the each side of the card box. find the total number of pins used.

Sol:

Total 35 pins are there and 4 sides of card board.

So 35 x 4 = 140

Now in the rectangle 4 vertices have 4 pins which is common to the sides.

So 140 – 4 = 136.

13. In the Garbar Jhala, Ahmadabad a shopkeeper first raises the price of Jewellery by x% then he decreases the new price by x%. After one such up down cycle, the price of a Jewellery decreased by Rs. 21025. After a second updown cycle the jewellery was sold for Rs. 484416. What was the original price of the jewellery.

Sol:

Let the original price be "p":

I cycle:

Up by x% means new price is $p$ + $\displaystyle\frac{px}{100}$

Down by x% on current price means new price is ($p$ + $\displaystyle\frac{px}{100}$) – ($p$ + $\displaystyle\frac{px}{100}$) $\times \displaystyle \frac{x}{100}$

When the bird keeper comes back, the assistant told him that x birds have escaped. The keeper realized that atleast 2 sparrows have escaped.

What is minimum no of birds that can escape?

Sol:

This question can be solved using the pigeonhole principle.

I guess the answer for the first question is 23 (10 + 5 + 8 ).

Since if all the birds are escaped, then only he can be sure that all sparrows are gone.

And for the second one, answer is 17 (10 p + 5 m + 2 s ).

If 17 birds escaped then best case such that least number of sparrows escaped will be like 10 pigeon, 5 myna and 2 sparrows escaped.

17. 3,4,7,10,13,16,19,22, . . . Find 10th term in series

Sol:

3

$3 \times 1$ = 3 + 1 = 4

$3 \times 2$ = 6 + 1 = 7

$3 \times 3$ = 9 + 1 = 10

$3 \times 4$ = 12 + 1 = 13

$3 \times 5$ = 15 + 1 = 16

$3 \times 6$ = 18 + 1 = 19

$3 \times 7$ = 21 + 1 = 22

$3 \times 8$ = 24 + 1 = 25

$3 \times 9$ = 27 + 1 = 28

10th term = 28

18. a,d,i,p,? what is next term

a) q

b) r

c) s

d) t

Sol:

a = $1 \times 1$

d = $2 \times 2$

i = $3 \times 3$

p = $4 \times 4$

Next will be

$5 \times 5$ = 25 = Y

19. Marbles are to be distributed. Ann gets 1,Mary gets 2, Rose gets 3 and Lisa gets 4. John Brown gets as much as his sister.Tim Smith gets 2 times as much as his sister. Neil Johnson gets 3 times as much as his sister. Sam Paul gets 4 times as much as his sister.Find the surnames of Ann,Mary,Rose and Lisa ?

Sol:

Ann's brother is Neil John ($1 \times 3 = 3 $).

Mary 's brother Sam paul ( $2 \times 4 = 8$).

Rose's brother John Brown ($3 \times 1 = 3$).

Lisa's Brother is Tim Smith (4 \times 2 = 8$).

1 + 2 + 3 + 4 + 3 + 8 + 3 + 8 = 32

20. A shop has 4 shelf, 3 wardrobes, 2 chairs and 7 tables for sell. You have to buy